TSTP Solution File: NLP265^18 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NLP265^18 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 03:05:28 EDT 2022
% Result : Theorem 5.28s 5.47s
% Output : CNFRefutation 5.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP265^18 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 00:03:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 8
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 1264
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:8,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:10,loop_count:0,foatp_calls:0,translation:fof_full).......eprover: <stdin>:1:(Column 145):(just read ''#i_alice''): Closing bracket (')') expected, but String enclosed in single quote ('') read
% 0.19/0.41 ..eprover: <stdin>:1:(Column 145):(just read ''#i_alice''): Closing bracket (')') expected, but String enclosed in single quote ('') read
% 0.75/0.97 ......
% 5.28/5.47
% 5.28/5.47 ********************************
% 5.28/5.47 * All subproblems solved! *
% 5.28/5.47 ********************************
% 5.28/5.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:393,loop_count:18,foatp_calls:2,translation:fof_full)
% 5.28/5.47
% 5.28/5.47 %**** Beginning of derivation protocol ****
% 5.28/5.47 % SZS output start CNFRefutation
% 5.28/5.47 thf(tp_mindex,type,(mindex: $tType)).
% 5.28/5.47 thf(tp_mworld,type,(mworld: $tType)).
% 5.28/5.47 thf(tp_'#b_alice',type,('#b_alice': mindex)).
% 5.28/5.47 thf(tp_'#b_bob',type,('#b_bob': mindex)).
% 5.28/5.47 thf(tp_'#i_alice',type,('#i_alice': mindex)).
% 5.28/5.47 thf(tp_'#i_bob',type,('#i_bob': mindex)).
% 5.28/5.47 thf(tp_bigcity,type,(bigcity: ($i>(mworld>$o)))).
% 5.28/5.47 thf(tp_mactual,type,(mactual: mworld)).
% 5.28/5.47 thf(tp_mand,type,(mand: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mbox,type,(mbox: (mindex>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mdia,type,(mdia: (mindex>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mequiv,type,(mequiv: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mimplies,type,(mimplies: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mlocal,type,(mlocal: ((mworld>$o)>$o))).
% 5.28/5.47 thf(tp_mnot,type,(mnot: ((mworld>$o)>(mworld>$o)))).
% 5.28/5.47 thf(tp_mor,type,(mor: ((mworld>$o)>((mworld>$o)>(mworld>$o))))).
% 5.28/5.47 thf(tp_mrel,type,(mrel: (mindex>(mworld>(mworld>$o))))).
% 5.28/5.47 thf(tp_portland,type,(portland: $i)).
% 5.28/5.47 thf(tp_sK1_SX0,type,(sK1_SX0: mworld)).
% 5.28/5.47 thf(tp_sK2_SY13,type,(sK2_SY13: mworld)).
% 5.28/5.47 thf(tp_sK3_SY4,type,(sK3_SY4: (mworld>mworld))).
% 5.28/5.47 thf(tp_sK4_SY8,type,(sK4_SY8: (mworld>mworld))).
% 5.28/5.47 thf(tp_sK5_SY14,type,(sK5_SY14: (mworld>mworld))).
% 5.28/5.47 thf(tp_sK6_SY15,type,(sK6_SY15: (mworld>mworld))).
% 5.28/5.47 thf(mand,definition,(mand = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) & (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 5.28/5.47 thf(mbox,definition,(mbox = (^[R:mindex,Phi:(mworld>$o),W:mworld]: (![V:mworld]: ((((mrel@R)@W)@V) => (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 5.28/5.47 thf(mdia,definition,(mdia = (^[R:mindex,Phi:(mworld>$o),W:mworld]: (?[V:mworld]: ((((mrel@R)@W)@V) & (Phi@V))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia)).
% 5.28/5.47 thf(mequiv,definition,(mequiv = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) <=> (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv)).
% 5.28/5.47 thf(mimplies,definition,(mimplies = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) => (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 5.28/5.47 thf(mlocal,definition,(mlocal = (^[Phi:(mworld>$o)]: (Phi@mactual))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal)).
% 5.28/5.47 thf(mnot,definition,(mnot = (^[A:(mworld>$o),W:mworld]: (~ (A@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 5.28/5.47 thf(mor,definition,(mor = (^[A:(mworld>$o),B:(mworld>$o),W:mworld]: ((A@W) | (B@W)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 5.28/5.47 thf(2,axiom,(mlocal@((mbox@'#b_alice')@(bigcity@portland))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2)).
% 5.28/5.47 thf(6,axiom,(![W:mworld,V:mworld]: (((mrel@'#b_alice')@W)@V)),file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_#b_alice_universal')).
% 5.28/5.47 thf(9,conjecture,(mlocal@((mbox@'#i_alice')@((mbox@'#b_bob')@(bigcity@portland)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 5.28/5.47 thf(10,negated_conjecture,(((mlocal@((mbox@'#i_alice')@((mbox@'#b_bob')@(bigcity@portland))))=$false)),inference(negate_conjecture,[status(cth)],[9])).
% 5.28/5.47 thf(11,plain,(((~ (mlocal@((mbox@'#i_alice')@((mbox@'#b_bob')@(bigcity@portland)))))=$true)),inference(polarity_switch,[status(thm)],[10])).
% 5.28/5.47 thf(14,plain,(((![W:mworld,V:mworld]: (((mrel@'#b_alice')@W)@V))=$true)),inference(copy,[status(thm)],[6])).
% 5.28/5.47 thf(18,plain,(((mlocal@((mbox@'#b_alice')@(bigcity@portland)))=$true)),inference(copy,[status(thm)],[2])).
% 5.28/5.47 thf(20,plain,(((~ (mlocal@((mbox@'#i_alice')@((mbox@'#b_bob')@(bigcity@portland)))))=$true)),inference(copy,[status(thm)],[11])).
% 5.28/5.47 thf(21,plain,(((~ (![SX0:mworld]: ((~ (((mrel@'#i_alice')@mactual)@SX0)) | (![SX1:mworld]: ((~ (((mrel@'#b_bob')@SX0)@SX1)) | ((bigcity@portland)@SX1))))))=$true)),inference(unfold_def,[status(thm)],[20,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 5.28/5.47 thf(25,plain,(((![SX0:mworld]: ((~ (((mrel@'#b_alice')@mactual)@SX0)) | ((bigcity@portland)@SX0)))=$true)),inference(unfold_def,[status(thm)],[18,mand,mbox,mdia,mequiv,mimplies,mlocal,mnot,mor])).
% 5.28/5.47 thf(28,plain,(![SV3:mworld]: (((![SY2:mworld]: (((mrel@'#b_alice')@SV3)@SY2))=$true))),inference(extcnf_forall_pos,[status(thm)],[14])).
% 5.28/5.47 thf(30,plain,(((![SX0:mworld]: ((~ (((mrel@'#i_alice')@mactual)@SX0)) | (![SX1:mworld]: ((~ (((mrel@'#b_bob')@SX0)@SX1)) | ((bigcity@portland)@SX1)))))=$false)),inference(extcnf_not_pos,[status(thm)],[21])).
% 5.28/5.47 thf(34,plain,(![SV8:mworld]: ((((~ (((mrel@'#b_alice')@mactual)@SV8)) | ((bigcity@portland)@SV8))=$true))),inference(extcnf_forall_pos,[status(thm)],[25])).
% 5.28/5.47 thf(37,plain,(![SV11:mworld,SV3:mworld]: (((((mrel@'#b_alice')@SV3)@SV11)=$true))),inference(extcnf_forall_pos,[status(thm)],[28])).
% 5.28/5.47 thf(39,plain,((((~ (((mrel@'#i_alice')@mactual)@sK1_SX0)) | (![SY13:mworld]: ((~ (((mrel@'#b_bob')@sK1_SX0)@SY13)) | ((bigcity@portland)@SY13))))=$false)),inference(extcnf_forall_neg,[status(esa)],[30])).
% 5.28/5.47 thf(43,plain,(![SV8:mworld]: (((~ (((mrel@'#b_alice')@mactual)@SV8))=$true) | (((bigcity@portland)@SV8)=$true))),inference(extcnf_or_pos,[status(thm)],[34])).
% 5.28/5.47 thf(45,plain,(((![SY13:mworld]: ((~ (((mrel@'#b_bob')@sK1_SX0)@SY13)) | ((bigcity@portland)@SY13)))=$false)),inference(extcnf_or_neg,[status(thm)],[39])).
% 5.28/5.47 thf(49,plain,(![SV8:mworld]: (((((mrel@'#b_alice')@mactual)@SV8)=$false) | (((bigcity@portland)@SV8)=$true))),inference(extcnf_not_pos,[status(thm)],[43])).
% 5.28/5.47 thf(51,plain,((((~ (((mrel@'#b_bob')@sK1_SX0)@sK2_SY13)) | ((bigcity@portland)@sK2_SY13))=$false)),inference(extcnf_forall_neg,[status(esa)],[45])).
% 5.28/5.47 thf(56,plain,((((bigcity@portland)@sK2_SY13)=$false)),inference(extcnf_or_neg,[status(thm)],[51])).
% 5.28/5.47 thf(127,plain,(![SV30:mworld,SV31:mworld]: (((((mrel@'#b_alice')@SV31)@SV30)=$true))),inference(rename,[status(thm)],[37])).
% 5.28/5.47 thf(129,plain,(![SV34:mworld]: (((((mrel@'#b_alice')@mactual)@SV34)=$false) | (((bigcity@portland)@SV34)=$true))),inference(rename,[status(thm)],[49])).
% 5.28/5.47 thf(133,plain,(![SV34:mworld,SV30:mworld,SV31:mworld]: ((((((mrel@'#b_alice')@mactual)@SV34) = (((mrel@'#b_alice')@SV31)@SV30))=$false) | (((bigcity@portland)@SV34)=$true))),inference(res,[status(thm)],[129,127])).
% 5.28/5.47 thf(138,plain,(![SV30:mworld]: ((((bigcity@portland)@SV30)=$true))),inference(extuni,[status(esa)],[133:[bind(SV34,$thf(SV30)),bind(SV31,$thf(mactual))]])).
% 5.28/5.47 thf(388,plain,(![SV57:mworld]: ((((bigcity@portland)@SV57)=$true))),inference(rename,[status(thm)],[138])).
% 5.28/5.47 thf(392,plain,(![SV57:mworld]: (((((bigcity@portland)@SV57) = ((bigcity@portland)@sK2_SY13))=$false))),inference(res,[status(thm)],[388,56])).
% 5.28/5.47 thf(393,plain,((($false)=$true)),inference(extuni,[status(esa)],[392:[bind(SV57,$thf(sK2_SY13))]])).
% 5.28/5.47 thf(394,plain,($false),inference(solved_all_splits,[solved_all_splits(join,[])],[393])).
% 5.28/5.47 % SZS output end CNFRefutation
% 5.28/5.47
% 5.28/5.47 %**** End of derivation protocol ****
% 5.28/5.47 %**** no. of clauses in derivation: 28 ****
% 5.28/5.47 %**** clause counter: 393 ****
% 5.28/5.47
% 5.28/5.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:393,loop_count:18,foatp_calls:2,translation:fof_full)
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